MATH 105 Introduction to Calculus I

Inequalities, absolute value. Cartesian plane, graphs of equations (lines, circles and parabolas). Functions, functions in economics, trigonometric functions. Limits, continuity. Derivative, differentiation rules, chain rule, implicit differentiation, marginal functions in economics. Maximum and minimum values, increasing and decreasing functions, the first derivative test, concavity, the second derivative test, curve sketching using calculus, optimization problems and applications in business and economics. Credit units: 4 ECTS Credit units: 7.

Autumn Semester (Ayşegül Altaban, Alexandre Goncharov, Natalia Zheltukhina)

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